Singular Integral Inequalities and Stability of Semilinear Parabolic Equations


Milan Medved


Address. Department of Mathematical Analysis, Faculty of Mathematics and Physics, Comenius University, Mlynska dolina, 842 15 Bratislava, Slovakia

E-mail: medved@center.fmph.uniba.sk

Abstract. Using a method developed by the author for an analysis of singular integral inequalities a stability theorem for semilinear parabolic PDEs is proved.

AMS classification. 34D05, 35B35, 35K55

Key words. Integral inequality, parabolic equation, stability